_rot01(x) = ( x[1],  x[2],  x[3])
_rot02(x) = ( x[2],  x[3],  x[1])
_rot03(x) = ( x[3],  x[1],  x[2])

_rot04(x) = ( x[1], -x[2], -x[3])
_rot05(x) = ( x[2], -x[3], -x[1])
_rot06(x) = ( x[3], -x[1], -x[2])

_rot07(x) = (-x[1],  x[2], -x[3])
_rot08(x) = (-x[2],  x[3], -x[1])
_rot09(x) = (-x[3],  x[1], -x[2])

_rot10(x) = (-x[1], -x[2],  x[3])
_rot11(x) = (-x[2], -x[3],  x[1])
_rot12(x) = (-x[3], -x[1],  x[2])

_rot13(x) = (-x[3],  x[2],  x[1])
_rot14(x) = (-x[2],  x[1],  x[3])
_rot15(x) = (-x[1],  x[3],  x[2])

_rot16(x) = ( x[3], -x[2],  x[1])
_rot17(x) = ( x[2], -x[1],  x[3])
_rot18(x) = ( x[1], -x[3],  x[2])

_rot19(x) = ( x[3],  x[2], -x[1])
_rot20(x) = ( x[2],  x[1], -x[3])
_rot21(x) = ( x[1],  x[3], -x[2])

_rot22(x) = (-x[3], -x[2], -x[1])
_rot23(x) = (-x[2], -x[1], -x[3])
_rot24(x) = (-x[1], -x[3], -x[2])

const global Rotations = (;
    _rot01,
    _rot02,
    _rot03,
    _rot04,
    _rot05,
    _rot06,
    _rot07,
    _rot08,
    _rot09,
    _rot10,
    _rot11,
    _rot12,
    _rot13,
    _rot14,
    _rot15,
    _rot16,
    _rot17,
    _rot18,
    _rot19,
    _rot20,
    _rot21,
    _rot22,
    _rot23,
    _rot24
)